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What is the Least Common Multiple of 62093 and 62110?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 62093 and 62110 is 3856596230.

LCM(62093,62110) = 3856596230

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Least Common Multiple of 62093 and 62110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62093 and 62110, than apply into the LCM equation.

GCF(62093,62110) = 1
LCM(62093,62110) = ( 62093 × 62110) / 1
LCM(62093,62110) = 3856596230 / 1
LCM(62093,62110) = 3856596230

Least Common Multiple (LCM) of 62093 and 62110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62093 and 62110. First we will calculate the prime factors of 62093 and 62110.

Prime Factorization of 62093

Prime factors of 62093 are 31, 2003. Prime factorization of 62093 in exponential form is:

62093 = 311 × 20031

Prime Factorization of 62110

Prime factors of 62110 are 2, 5, 6211. Prime factorization of 62110 in exponential form is:

62110 = 21 × 51 × 62111

Now multiplying the highest exponent prime factors to calculate the LCM of 62093 and 62110.

LCM(62093,62110) = 311 × 20031 × 21 × 51 × 62111
LCM(62093,62110) = 3856596230